How many even numbers of three digits each can be made with the digits 1, 2, 3, 4, 6, 7 if no digit is repeated?
How many even numbers of three digits each can be made with the digits 1, 2, 3, 4, 6, 7 if no digit is repeated?
1, 2, 3, 4, 6, 7 -
The units place of the even 3 digit number can be filled up by 2, 4, 6 i.e. 3 numbers.
The tens place by 5 numbers and hundredths place by 4 numbers.
Hence the total of all 3 digit even numbers = 3 × 5 × 4 = 60.
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